Exact solutions of Kondo problems in higher-order fermions

Exact solutions of Kondo problems in higher-order fermions
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高阶费米子中近藤问题的精确解

DOI:
10.1103/physrevb.105.024416
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发表时间:
2022-01
期刊:
影响因子:
3.7
通讯作者:
Baigeng Wang
Baigeng Wang
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Peng Song;Haodang Ma;Rui Wang;Baigeng Wang

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解决近藤问题的共形场论 (CFT) 方法最初由 Affleck 和 Ludwig (AL) 开发,极大地推进了近藤物理学的基础知识。近藤杂质的 CFT 方法基于必要的近似,即费米表面周围窄能量窗口中的低位激发的线性化。这种处理在普通金属浴中效果很好,但在具有费米点和高阶色散关系的系统中遇到根本困难。此类系统的突出例子是最近提出的具有新兴高阶费米子的拓扑半金属。在这里,我们开发了一种新的 CFT 技术,可以为高阶费米子系统中的近藤问题提供精确的解决方案。我们的方法不需要对低位激发进行任何线性化,更重要的是,它严格玻色化高阶费米子的整个能谱。因此,它为评估有限温度下的热力学量提供了更坚实的理论基础。我们的工作显着拓宽了 CFT 技术的范围,并带来了传统方法无法企及的前所未有的应用。
The conformal field theory (CFT) approach to Kondo problems, originally developed by Affleck and Ludwig (AL), has greatly advanced the fundamental knowledge of Kondo physics. The CFT approach to Kondo impurities is based on a necessary approximation, i.e., the linearization of the low-lying excitations in a narrow energy window about the Fermi surface. This treatment works well in normal metal baths, but encounters fundamental difficulties in systems with Fermi points and high-order dispersion relations. Prominent examples of such systems are the recently-proposed topological semimetals with emergent higher-order fermions. Here, we develop a new CFT technique that yields exact solutions to the Kondo problems in higher-order fermion systems. Our approach does not require any linearization of the low-lying excitations, and more importantly, it rigorously bosonizes the entire energy spectrum of the higher-order fermions. Therefore, it provides a more solid theoretical base for evaluating the thermodynamic quantities at finite temperatures. Our work significantly broadens the scope of CFT techniques and brings about unprecedented applications beyond the reach of conventional methods.
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